Finite Group Databasebeta

← Group #11872758

Character table — Group #11872758

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444446666888888888888888121212121212121212121212161616161616242424242424242424242424242424242436363636363672
order122233446666663446661212121212124444226666121212121212121212222444881212121266666644666812121212121212242424242244888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-11-1-1-1-11111111111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-11111-1-1-1-1-1-1-1-1111-1111-1-1-1-1-1-1-1-11111-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-11111111111-1-11-1-1111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-11111-1-1-1-1111
χ511111111111111111111111111-1-1-1-1111111111111111-111-11111-1-1-1-1111111-1-1-1111-111-1-1-1-11111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-111-111-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1111111-1-1-1-1-1-1-1-1111
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-11-1-1-1111111111111-1-1-1
χ9111111111111111-1-1111111-1-1111111-111-1-1-1-1-111-1-1-1-1-111-1-1-11111111-111-1-1-11-111-1-1-1-111-1-111-1-1-1-11111-1
χ10111111111111111-1-1111111-1-1111111-111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111111-111-1-1-11-1-1-11-11111-1-1-1-11111-1-1-1-11
χ11111111111111111-1-1111111-1-111111-11-1-111-1-1-111-1-1-1-1-111-1-1-1-1-11111-11-1-1111-1-1111-1-1-1-1-111-1-111-1-111-1-11
χ12111111111111111-1-1111111-1-111111-11-1-111-1-1-111-1-1-1-1-1-1-1-111111111-11-1-1111-1-1-1-1-1-111-1-11111-1-111-1-111-1
χ13111111111111111-1-1111111-1-11-1-1-1-11-111-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-11-111-1-11-1111-11-1-1-1-11111-1-111-1-1-1-11
χ14111111111111111-1-1111111-1-11-1-1-1-11-111-1-1-1-1-111-1-1-1-11-1-1111-1-1-1-1-1-11-111-1-11-11-1-11111-1-111-1-111-1-11111-1
χ15111111111111111-1-1111111-1-11-1-1-1-1-11-1-111-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-111-1111111-1-111-1-1-1-11111-1-111-1
χ16111111111111111-1-1111111-1-11-1-1-1-1-11-1-111-1-1-111-1-1-1-11-1-111111-1-1-1-1-11-1-111-111-1-1-111111-1-111-1-1-1-111-1-11
χ17222222-2-222222222-2222-2-2-222-222-2-2000000-22-2-2-222-2-2-2002000022-2-200000000-2000200000000000000000
χ18222222-2-222222222-2222-2-2-222-2-2-222000000-22-2-2-222-2-2200-20000-2-222000000002000-200000000000000000
χ19222222-2-22222222-22222-2-2-2-2-2-222-2-20000002-22-2-2-2-222200-2000022-2-2000000002000-200000000000000000
χ20222222-2-22222222-22222-2-2-2-2-2-2-2-2220000002-22-2-2-2-222-20020000-2-22200000000-2000200000000000000000
χ2122222-122-1-12-122-122-1-1-1-122-1-1-10000222222-122-1-1-1-1-1-1022022220000-1-1-1-1-1-1000-1-120-1-10000-1-1-1-10000000
χ2222222-122-1-12-122-122-1-1-1-122-1-1-10000222222-122-1-1-1-1-1-10-2-20-2-2-2-20000-1-1-1-1-1-100011-2011000011110000000
χ2322222-122-1-12-122-122-1-1-1-122-1-1-10000-2-2-2-2-2-2-122-1-1-1-1-1-1022022-2-20000111111000-1-1-20-1-1000011110000000
χ2422222-122-1-12-122-122-1-1-1-122-1-1-10000-2-2-2-2-2-2-122-1-1-1-1-1-10-2-20-2-22200001111110001120110000-1-1-1-10000000
χ2522222-122-1-12-122-1-2-2-1-1-1-12211-100002-222-2-21-2-2-1-111110220-2-2220000-11-1-111000-1-1-20110000-1-1110000000
χ2622222-122-1-12-122-1-2-2-1-1-1-12211-100002-222-2-21-2-2-1-111110-2-2022-2-20000-11-1-1110001120-1-1000011-1-10000000
χ2722222-122-1-12-122-1-2-2-1-1-1-12211-10000-22-2-2221-2-2-1-111110220-2-2-2-200001-111-1-1000-1-12011000011-1-10000000
χ2822222-122-1-12-122-1-2-2-1-1-1-12211-10000-22-2-2221-2-2-1-111110-2-20222200001-111-1-100011-20-1-10000-1-1110000000
χ292222-122222-12-1-1-122-1-1-12-1-1222222222-1-1-1-12-1-1-1-1-1-1-1-120020000-1-1-1-122-1-1-1-122-1000-100-1-1-1-100000000000
χ302222-122222-12-1-1-122-1-1-12-1-12222222-2-211112-1-1-1-1-1-1-1-120020000-1-1-1-1-2-21111-2-2-1000-100111100000000000
χ312222-122222-12-1-1-122-1-1-12-1-1222-2-2-2-222-1-1-1-12-1-1-1-1-1-1-1-1-200-20000111122-1-1-1-1-2-21000100111100000000000
χ322222-122222-12-1-1-122-1-1-12-1-1222-2-2-2-2-2-211112-1-1-1-1-1-1-1-1-200-200001111-2-21111221000100-1-1-1-100000000000
χ332222-122222-12-1-1-1-2-2-1-1-12-1-1-2-2222222-2-1-111-211-1-11111-200-20000-1-1-1-12-2-1-111-221000100-1-11100000000000
χ342222-122222-12-1-1-1-2-2-1-1-12-1-1-2-222222-2211-1-1-211-1-11111-200-20000-1-1-1-1-2211-1-12-2100010011-1-100000000000
χ352222-122222-12-1-1-1-2-2-1-1-12-1-1-2-22-2-2-2-22-2-1-111-211-1-111112002000011112-2-1-1112-2-1000-10011-1-100000000000
χ362222-122222-12-1-1-1-2-2-1-1-12-1-1-2-22-2-2-2-2-2211-1-1-211-1-11111200200001111-2211-1-1-22-1000-100-1-11100000000000
χ372222-12-2-222-12-1-1-12-2-1-1-1-21122-222-2-200−i3i3−i3i3-2-1111-1-111-20020000-1-11100−i3i3−i3i3001000-100−i3i3−i3i300000000000
χ382222-12-2-222-12-1-1-12-2-1-1-1-21122-222-2-200i3−i3i3−i3-2-1111-1-111-20020000-1-11100i3−i3i3−i3001000-100i3−i3i3−i300000000000
χ392222-12-2-222-12-1-1-12-2-1-1-1-21122-2-2-22200−i3i3−i3i3-2-1111-1-111200-2000011-1-100−i3i3−i3i300-1000100i3−i3i3−i300000000000
χ402222-12-2-222-12-1-1-12-2-1-1-1-21122-2-2-22200i3−i3i3−i3-2-1111-1-111200-2000011-1-100i3−i3i3−i300-1000100−i3i3−i3i300000000000
χ412222-12-2-222-12-1-1-1-22-1-1-1-211-2-2-222-2-200−i3i3i3−i321-11111-1-1200-20000-1-11100−i3i3i3−i300-1000100−i3i3i3−i300000000000
χ422222-12-2-222-12-1-1-1-22-1-1-1-211-2-2-222-2-200i3−i3−i3i321-11111-1-1200-20000-1-11100i3−i3−i3i300-1000100i3−i3−i3i300000000000
χ432222-12-2-222-12-1-1-1-22-1-1-1-211-2-2-2-2-22200−i3i3i3−i321-11111-1-1-2002000011-1-100−i3i3i3−i3001000-100i3−i3−i3i300000000000
χ442222-12-2-222-12-1-1-1-22-1-1-1-211-2-2-2-2-22200i3−i3−i3i321-11111-1-1-2002000011-1-100i3−i3−i3i3001000-100−i3i3i3−i300000000000
χ4522-2-2222-22-22-2-2-22002-2-2-22-20022i−2i2i−2i0000000002-2000002-2000002i−2i2i−2i0000000002-2000000000000002i−2i000
χ4622-2-2222-22-22-2-2-22002-2-2-22-20022i−2i2i−2i0000000002-200000-22000002i−2i2i−2i000000000-2200000000000000−2i2i000
χ4722-2-2222-22-22-2-2-22002-2-2-22-2002−2i2i−2i2i0000000002-2000002-200000−2i2i−2i2i0000000002-200000000000000−2i2i000
χ4822-2-2222-22-22-2-2-22002-2-2-22-2002−2i2i−2i2i0000000002-200000-2200000−2i2i−2i2i000000000-22000000000000002i−2i000
χ4922-2-222-222-22-2-2-22002-2-22-2200-22i−2i−2i2i000000000-22000000002i−2i002i−2i−2i2i00000000000002i−2i000000002-200000
χ5022-2-222-222-22-2-2-22002-2-22-2200-22i−2i−2i2i000000000-2200000000−2i2i002i−2i−2i2i0000000000000−2i2i00000000-2200000
χ5122-2-222-222-22-2-2-22002-2-22-2200-2−2i2i2i−2i000000000-22000000002i−2i00−2i2i2i−2i00000000000002i−2i00000000-2200000
χ5222-2-222-222-22-2-2-22002-2-22-2200-2−2i2i2i−2i000000000-2200000000−2i2i00−2i2i2i−2i0000000000000−2i2i000000002-200000
χ5344444-2-4-4-2-24-244-24-4-2-2-22-4-4-2-22000000000024-422-2-222000000000000000000000000000000000000000000
χ5444444-2-4-4-2-24-244-2-44-2-2-22-4-42220000000000-2-442222-2-2000000000000000000000000000000000000000000
χ554444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-2000044-2-2-2-2-2-2-2111111000000000000-2-21111000000000000000000000000
χ564444-2-244-2-2-2-2-2-2144111-2-2-2-2-2-20000-4-42222-2-2-211111100000000000022-1-1-1-1000000000000000000000000
χ574444-2-244-2-2-2-2-2-21-4-4111-2-2-222-200004-4-2-22222211-1-1-1-1000000000000-2211-1-1000000000000000000000000
χ584444-2-244-2-2-2-2-2-21-4-4111-2-2-222-20000-4422-2-222211-1-1-1-10000000000002-2-1-111000000000000000000000000
χ594444-2-2-4-4-2-2-2-2-2-214-4111222-2-22000000−2i32i3−2i32i32-22-1-111-1-100000000000000i3−i3i3−i3000000000000000000000000
χ604444-2-2-4-4-2-2-2-2-2-214-4111222-2-220000002i3−2i32i3−2i32-22-1-111-1-100000000000000−i3i3−i3i3000000000000000000000000
χ614444-2-2-4-4-2-2-2-2-2-21-44111222222000000−2i32i32i3−2i3-22-2-1-1-1-11100000000000000i3−i3−i3i3000000000000000000000000
χ624444-2-2-4-4-2-2-2-2-2-21-441112222220000002i3−2i3−2i32i3-22-2-1-1-1-11100000000000000−i3i3i3−i3000000000000000000000000
χ6344-4-44-24-4-2242-4-4-200-22224-400-20000000000000-22000004-4000000000000000000-220000000000000000000
χ6444-4-44-24-4-2242-4-4-200-22224-400-20000000000000-2200000-440000000000000000002-20000000000000000000
χ6544-4-44-2-44-2242-4-4-200-222-2-4400200000000000002-2000000004i−4i0000000000000000000−2i2i000000000000000
χ6644-4-44-2-44-2242-4-4-200-222-2-4400200000000000002-200000000−4i4i00000000000000000002i−2i000000000000000
χ6744-4-4-244-44-4-2-422-200-222-4-220044i−4i4i−4i000000000-22000000000000−2i2i−2i2i000000000000000000000000000000
χ6844-4-4-244-44-4-2-422-200-222-4-22004−4i4i−4i4i000000000-220000000000002i−2i2i−2i000000000000000000000000000000
χ6944-4-4-24-444-4-2-422-200-22242-200-44i−4i−4i4i0000000002-2000000000000−2i2i2i−2i000000000000000000000000000000
χ7044-4-4-24-444-4-2-422-200-22242-200-4−4i4i4i−4i0000000002-20000000000002i−2i−2i2i000000000000000000000000000000
χ714-44-44400-4-4-444-4400-44-4000000000000000000000000000000022−220000000000000000000000022−22000000000
χ724-44-44400-4-4-444-4400-44-40000000000000000000000000000000−222200000000000000000000000−2222000000000
χ734-44-44-20022-4-24-4-2002-22000−2i32i30000000000000000−2i32i30000000022−2200000000000000000000000−22i6−i60000000
χ744-44-44-20022-4-24-4-2002-22000−2i32i30000000000000000−2i32i300000000−2222000000000000000000000002−2−i6i60000000
χ754-44-44-20022-4-24-4-2002-220002i3−2i300000000000000002i3−2i30000000022−2200000000000000000000000−22−i6i60000000
χ764-44-44-20022-4-24-4-2002-220002i3−2i300000000000000002i3−2i300000000−2222000000000000000000000002−2i6−i60000000
χ774-4-444400-44-4-4-44400-4-44000000000000000000000000000000000000000000000000000000000000000022−220
χ784-4-444400-44-4-4-44400-4-440000000000000000000000000000000000000000000000000000000000000000−22220
χ7988-8-8-4-48-8-44-44442002-2-24-4400-400000000000002-20000000000000000000000000000000000000000000000
χ8088-8-8-4-4-88-44-44442002-2-2-44-40040000000000000-220000000000000000000000000000000000000000000000
χ818-88-8-4800-8-848-44-4004-440000000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-400444-4-44200-22-2000−4i34i300000000000000002i3−2i300000000000000000000000000000000000000000000
χ838-88-8-4-400444-4-44200-22-20004i3−4i30000000000000000−2i32i300000000000000000000000000000000000000000000
χ848-8-888-4004-4-84-88-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ858-8-88-4800-884-84-4-40044-40000000000000000000000000000000000000000000000000000000000000000000
χ868-8-88-4-4004-4444-4200-2-22000000000000000000000006-6000000000000000000000000000000000000000000
χ878-8-88-4-4004-4444-4200-2-2200000000000000000000000-66000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).